The out-arc 5-pancyclic vertices in strong tournaments

نویسندگان

  • Qiaoping Guo
  • Wei Meng
چکیده

An arc in a tournament T with n ≥ 3 vertices is called k-pancyclic, if it belongs to a cycle of length l for all k ≤ l ≤ n. In this paper, the result that each s-strong (s ≥ 3) tournament T contains at least s + 2 out-arc 5-pancyclic vertices is obtained. Furthermore, our proof yields a polynomial algorithm to find s + 2 out-arc 5-pancyclic vertices of T .

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 57  شماره 

صفحات  -

تاریخ انتشار 2013